R(-5, -3), S(-1, -3), and T(-1, -8)
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The coordinates of Triangle RST after a translation 4 units to the left and down can be found by subtracting 4 from the x-coordinate and subtracting 4 from the y-coordinate of each vertex.
Given the original coordinates of R(-1, 1), S(3, 1), and T(3, -4), if we move 4 units to the left and down, the new coordinates will be:
- R(-1 - 4, 1 - 4) ⇒ R(-5, -3)
- S(3 - 4, 1 - 4) ⇒ S(-1, -3)
- T(3 - 4, -4 - 4) ⇒ T(-1, -8)
So, the correct answer is R(-5, -3), S(-1, -3), and T(-1, -8).